Jacobi elliptic function-like solutions for generalized stochastic KdV equation

Author

Yuan-yuan, Lu

Author_Institution

Math. Coll., Jilin Normal Univ., Siping, China

Volume

2

fYear

2012

fDate

20-21 Oct. 2012

Firstpage

17

Lastpage

20

Abstract

By extended mapping method and Hermite transformation, we study the generalized stochastic KdV equation, and obtain some families of stochastic exact solutions, which include Jacobi elliptic function-like, combined Jacobi elliptic function-like, soliton-like, kink-bell soliton-like and triangular function-like solutions.

Keywords

Korteweg-de Vries equation; elliptic equations; nonlinear differential equations; solitons; stochastic processes; Hermite transformation; combined Jacobi elliptic function-like solution; extended mapping method; generalized stochastic KdV equation; kink-bell soliton-like solution; stochastic exact solutions; triangular function-like solution; Equations; Jacobian matrices; Mathematical model; Partial differential equations; Solitons; Stochastic processes; White noise; Hermite transformation; extended mapping method; generalized stochastic KdV equation; stochastic exact solution; white noise;

fLanguage

English

Publisher

ieee

Conference_Titel

System Science, Engineering Design and Manufacturing Informatization (ICSEM), 2012 3rd International Conference on

Conference_Location

Chengdu

Print_ISBN

978-1-4673-0914-1

Type

conf

DOI

10.1109/ICSSEM.2012.6340796

Filename

6340796